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Simplifying x + 0.1(-1x + 54) = 10.8 Reorder the terms: x + 0.1(54 + -1x) = 10.8 x + (54 * 0.1 + -1x * 0.1) = 10.8 x + (5.4 + -0.1x) = 10.8 Reorder the terms: 5.4 + x + -0.1x = 10.8 Combine like terms: x + -0.1x = 0.9x 5.4 + 0.9x = 10.8 Solving 5.4 + 0.9x = 10.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4' to each side of the equation. 5.4 + -5.4 + 0.9x = 10.8 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 0.9x = 10.8 + -5.4 0.9x = 10.8 + -5.4 Combine like terms: 10.8 + -5.4 = 5.4 0.9x = 5.4 Divide each side by '0.9'. x = 6 Simplifying x = 6
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